Abstract
In this project we investigate the active control of transverse vibrations of an elastic beam using active control strategies. The system is excited by a mass moving with constant velocity across a beam. The aims are to minimize the transverse deflections under the moving mass and the total maximum deflection of the beam. The finite element approach and modal analysis for modeling is used. We apply two different control strategies to reach the aims. The first one is an optimal discrete time control which allows to implement both aims. The second one is an adaptive control strategy with a simple model to minimize the deflection under the moving mass. Numerical and experimental results are compared. Applying optimal control a reduction of the deflection under the moving mass of more than 98% with respect to the uncontrolled system is possible. Taking into account the total maximum deflection an optimum can be found where both deflections are reduced by more than 88%. The reduction of the deflection under the moving mass applying adaptive control is smaller than that using the optimal discrete time control.
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